Ordinal ranking and preference strength
type: Item
instance of: scholarly article
title: Ordinal ranking and preference strength
zbMATH Open document ID: 0607.90002
DOI: 10.1016/0165-4896(86)90030-2
author: Wade D. Cook
author: Moshe Kress
published in: Mathematical Social Sciences
publication date: 1986-01-01T00:00:00Z
review text: This paper extends the model of \textit{J. G. Kemeny} and \textit{L. J. Snell} [in: Math. Models in the Soc. Sciences, Ginn, New York, 9-23 (1962)] of ordinal ranking to include a preference strength component. This is accomplished by expanding the ranking space to allow for the incorporation of dummy objects in the object listing. A set of axioms is presented, which a distance function on this expanded space should adhere to. Under this set of conditions, the distance function is characterized and shown to be unique. It is also shown that the Kemeny and Snell model is naturally embedded in this general model.
Mathematics Subject Classification ID: 91B08
zbMATH DE Number: 3982856
zbMATH Keywords: consensus
zbMATH Keywords: distance measure
zbMATH Keywords: ordinal ranking
zbMATH Keywords: preference strength component
zbMATH Keywords: dummy objects
zbMATH Keywords: distance function
MaRDI profile type: Publication
full work available at URL: 0165-4896(86)90030-2
OpenAlex ID: W2058401089
cites work: Social choice and individual values
cites work: Q4118980
cites work: Social Preference Orderings and Majority Rule
cites work: Q5671815
description: scientific article; zbMATH DE number 3982856